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Algebraic Topology

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Published by Springer .
Written in English

Subjects:

  • Topology - General,
  • Homotopy theory,
  • Mathematics,
  • Science/Mathematics,
  • Mathematics / Topology,
  • cohomology theories,
  • fibre bundles,
  • homolgy theories,
  • homotopy groups,
  • monotopy theory,
  • operations,
  • spectral sequences,
  • Homology Theory,
  • Algebra - General,
  • Algebraic Topology

Book details:

The Physical Object
FormatPaperback
Number of Pages542
ID Numbers
Open LibraryOL9057484M
ISBN 103540427503
ISBN 109783540427506

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Online shopping from a great selection at Books Store. More Concise Algebraic Topology: Localization, Completion, and Model Categories (Chicago Lectures in Mathematics). Nov 15,  · Great introduction to algebraic topology. For those who have never taken a course or read a book on topology, I think Hatcher's book is a decent starting point. However, (IMO) you should have a working familiarity with Euclidean Geometry, College Algebra, Logic or Discrete Math, and Set Theory before attempting this book/5. About this Textbook Intended for use both as a text and a reference, this book is an exposition of the fundamental ideas of algebraic topology. The first third of the book covers the fundamental group, its definition and its application in the study of covering spaces. Algebraic Topology by NPTEL. This is a basic note in algebraic topology, it introduce the notion of fundamental groups, covering spaces, methods for computing fundamental groups using Seifert Van Kampen theorem and some applications such as the Brouwer’s fixed point theorem, Borsuk Ulam theorem, fundamental theorem of algebra.

He then taught for ten years on the faculty of Brown University, and moved to his present position at Yale in He is the author of numerous research articles on algebraic topology and related topics. This book developed from lecture notes of courses taught to Yale undergraduate and graduate students over a period of several years. To paraphrase a comment in the introduction to a classic poin t-set topology text, this book might have been titled What Every Young Topologist Should Know. It grew from lecture notes we wrote while teaching second–year algebraic topology at Indiana University. The amount of algebraic topology a student of topology must learn can beintimidating. 3. Books on CW complexes 4. Differential forms and Morse theory 5. Equivariant algebraic topology 6. Category theory and homological algebra 7. Simplicial sets in algebraic topology 8. The Serre spectral sequence and Serre class theory 9. The Eilenberg-Moore spectral sequence Cohomology operations Vector. The purpose of this book is to help the aspiring reader acquire this essential common sense about algebraic topology in a short period of time. To this end, Sato leads the reader through simple but meaningful examples in concrete terms/5.

Algebraic Topology. This book, published in , is a beginning graduate-level textbook on algebraic topology from a fairly classical point of view. To find out more or to download it in electronic form, follow this link to the download page. Jul 12,  · Books carrying the title "Topology" are generally about point-set topology, as Elden points out. This may or may not be what you're looking for. Topology is a vast topic and the general point-set part of it is gold for some and boring esoterica for others. This introductory textbook in algebraic topology is suitable for use in a course or for self-study, featuring broad coverage of the subject and a readable exposition, with many examples and 4/5(7). This book is written as a textbook on algebraic topology. The first part covers the material for two introductory courses about homotopy and homology. The second part presents more advanced.